This graph image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.
It is recommended to name the SVG file “Real-tetration.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.
English: Author: Andrew Robbins. I made this with Mathematica. I grant fair use to this image. This is an image of real tetration using the linear approximation.
It is possible to plot this in gnuplot with following commands:
set grid
set xr[-4:4]
set yr[-5:15]
set yzeroaxis linetype 7 linewidth 1.5
set xzeroaxis linetype 7 linewidth 1.5
tet(a,n)=(n<0)?((n<-1)?(log(tet(a,n+1))/log(a)):(1.0+((2*log(a))/(1+log(a)))*n-((1-log(a))/(1+log(a)))*n**2)) :(a**tet(a,n-1.0))
e=exp(1)
set xtic 1
set ytic 1
plot tet(e,x)
Above commands can be used to make an .svg version of the plot.
Licensing
Public domainPublic domainfalsefalse
This work has been released into the public domain by its author, AJRobbins at English Wikipedia. This applies worldwide. In some countries this may not be legally possible; if so: AJRobbins grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.Public domainPublic domainfalsefalse
Original upload log
The original description page was here. All following user names refer to en.wikipedia.
Author: Andrew Robbins. I made this with Mathematica. I grant fair use to this image. This is an image of real tetration using the linear approximation.
Captions
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